Weakly Nonlocal And Nonlinear Heat Transport In Rigid Solids

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dc.contributor.authorLebon, Georgy
dc.contributor.authorJou, David
dc.contributor.authorCasas-Vázquez, José
dc.contributor.authorMuschik, Wolfgang
dc.date.accessioned2018-11-09T14:22:55Z
dc.date.available2018-11-09T14:22:55Z
dc.date.issued1998
dc.descriptionDieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.de
dc.descriptionThis publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.en
dc.description.abstractA weakly nonlocal and nonlinear theory of heat conduction in rigid bodies is proposed. The constitutive equations generalize these of Fourier, Maxwell-Cattaneo and Guyer-Krumhansl. The proposed model uses the fundaments and the technique of extended irreversible thermodynamics. The main conclusion is that the presence of nonlocal terms in the transport equation for the heat flux implies a modification of the entropy flux; the latter is no longer given by its classical expression, i.e. the heat flux divided by the temperature, but contains extra contributions which are nonlinear in the heat flux and its gradient. These results arise as compatibility conditions with the second law of thermodynamics. A nonequilibrium temperature depending on the heat flux and generalizing the local equilibrium temperature is also emerging naturally from the formalism.en
dc.identifier.eissn1437-4358
dc.identifier.issn0340-0204
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/8439
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-7585
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc530 Physikde
dc.subject.otherthermodynamicsen
dc.subject.otherheat conductionen
dc.titleWeakly Nonlocal And Nonlinear Heat Transport In Rigid Solidsen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1515/jnet.1998.23.2.176
dcterms.bibliographicCitation.issue2
dcterms.bibliographicCitation.journaltitleJournal of non-equilibrium thermodynamicsen
dcterms.bibliographicCitation.originalpublishernameDe Gruyteren
dcterms.bibliographicCitation.originalpublisherplaceBerlinen
dcterms.bibliographicCitation.pageend191
dcterms.bibliographicCitation.pagestart176
dcterms.bibliographicCitation.volume23
tub.accessrights.dnbdomain
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinde

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